Temperature induced cubic-to-tetragonal transformations in shape memory alloys using a phase-field model

R. Dhote, H. Gomez, R. Melnik, J. Zu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Shape memory alloys (SMAs) exhibit hysteresis behaviors upon stressand temperature-induced loadings. In this chapter, we focus on numerical simulations of microstructure evolution of cubic-to-tetragonal martensitic phase transformations in SMAs in 3D settings under the dynamic loading conditions. A phase-field (PF) model has been developed to capture coupled dynamic thermo-mechanical behavior of such SMA structures and the system of governing equations have been solved numerically using the isogeometric analysis. Temperature induced reverse and forward transformations have been applied to a cubic SMA specimen, starting with evolved accommodated martensitic microstructure. We have observed that during the forward transformation, the martensitic variants nucleate abruptly. The transient microstructures are aligned along [110] planes, which is in accordance with the crystallographic theory and experimental results.

Original languageEnglish
Title of host publicationInterdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
EditorsRoman N. Makarov, Roderick V. N. Melnik, Ilias S. Kotsireas, Hasan Shodiev, Monica G. Cojocaru, Monica G. Cojocaru, Roman N. Makarov, Roderick V. N. Melnik, Ilias S. Kotsireas, Hasan Shodiev
Pages183-189
Number of pages7
DOIs
StatePublished - 2015
EventInternational Conference on Applied Mathematics, Modelling and Computational Science, AMMCS 2013 - Waterloo, Canada
Duration: 26 Aug 201330 Aug 2013

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume117
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Applied Mathematics, Modelling and Computational Science, AMMCS 2013
Country/TerritoryCanada
CityWaterloo
Period26/08/1330/08/13

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